{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d6fa3691",
   "metadata": {},
   "source": [
    "# Алгоритмы снижения размерности данных\n",
    "\n",
    "- Линейные методы\n",
    "\n",
    "- Нелинейные методы\n",
    "\n",
    "## Линейные методы:\n",
    "\n",
    "### - Метод главных компонент (principal Component Analysis)\n",
    "\n",
    "### - Факторный анализ (factor analysis)\n",
    "\n",
    "### - Линейный дискриминатный анализ (linear discriminant analysis)\n",
    "\n",
    "### Сингулярное разложение (singular value decomposition)\n",
    "\n",
    "## Нелинейные методы:\n",
    "\n",
    "### Ядерный метод главных компонент (kernel principal component analysis)\n",
    "\n",
    "### Стохастическое вложение соседей с t-распределением (t-SNE)\n",
    "\n",
    "### Многомерное шкалирование (multidimensional scaling)\n",
    "\n",
    "### Изометрическое отображение (isometric mapping)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e8b501d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline \n",
    "import pandas as pd \n",
    "import matplotlib.pyplot as plt \n",
    "from mpl_toolkits.mplot3d import Axes3D \n",
    "import numpy as np \n",
    "import seaborn as sns \n",
    "from sklearn import datasets \n",
    "from sklearn.decomposition import PCA, KernelPCA \n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis \n",
    "from sklearn.decomposition import FactorAnalysis \n",
    "from sklearn.manifold import TSNE, MDS, Isomap \n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "008de07a",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda\\anaconda\\lib\\site-packages\\sklearn\\manifold\\_mds.py:299: FutureWarning: The default value of `normalized_stress` will change to `'auto'` in version 1.4. To suppress this warning, manually set the value of `normalized_stress`.\n",
      "  warnings.warn(\n"
     ]
    },
    {
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Wn5+fuZyYmKh169blOUZ7ZU60F4X3s4uLi/773/8a6v7++28nRQNHmj59utLS0szlWrVqaezYsXaP4+HhoTfeeMNQt27dOvPuOwAAAEBukGgHAAAACrn4+Hir9WXLls23Oa2NnVUcWSlVqpRF4sMWTz75pEWdo5NN58+f15QpUwx1b7/9tl1n0BcVM2bM0JEjR8xlHx8fffrpp84LqBBwdXVVnTp1DHU7d+7M1VjWPhfu7u65GgtFz7JlywzlWrVqqUePHrkay9vbW927dzfUbdmyJdex5Vbmc7Bz89CAM9StW9dQ/ueff5y2Oh+OYTKZtGLFCkPdsGHDcv3wR+YHzBITE9k+HgAAAHnCv/4BAAAAWLC29bW95/Z269YtV6vue/bsKX9/f8XExJjrcpsEzcqLL76omzdvmsuNGjXSiy++6NA5CoNLly5p0qRJhro333xTNWrUcFJE+efIkSPas2ePDh06pJCQEMXExCg2NlaJiYlW258+fdpQDg0NzdW81hLtthyVgOIhcyK8Y8eOeRqvVq1ahvL+/fvzNF5uZPxulNKPE3GGGzduaOvWrTp06JD+/fdfRUREKCYmRjdv3jSscM7YPqPExERdvXq1WD5AVVIcOnTIYjedvHzGAgICVKZMGcNRIfv371fXrl1zPSYAAABKNhLtAAAAQCHn7e1ttT46OloVK1bMlzmjoqIs6nx8fOwao3Xr1rma29XVVc2bN9dff/1lrjt27Jji4uLsjsGaDRs2WKyQmz17dpFZtWmPl19+WbGxseZyvXr1crXlbmGVmJiozz77TAsXLtS///6bp7GsvedtYe1s99KlS+cpFhQNsbGxOnTokKHu999/V4sWLXI95pUrVwzl8PDwXI+VW5nn9Pf3L9D59+3bp+nTp2vVqlV276SSWVRUFIn2Imzbtm0Wdc8991yeHv6Ii4szlJ3xGQMAAEDxQaIdAAAAKOTKlStntT4qKqpAE+1ZxZGV+vXr53r+Bg0aGBLtJpNJ4eHhCgoKyvWYUnpi9rnnnjPUPfroo+rWrVuexi2MNm7cqB9//NFQN2vWLHl6ejp8Lms7IOS3bdu2aejQoTpz5oxDxrOWMM9Nv1KlShXoQxuZtxrPHIufn5/Kly+vRo0aqWXLlurfv78aN26cpzm3bNnilL/zjIYPH67hw4dbvebl5SU/Pz+VK1dODRo0UPPmzXX//ffrjjvucGgMly9ftlhZfe3aNV27ds1hc0RERDhsLFtljj8/jynJKDk5WS+99JI+//xzqyvWcyM3n+vC/v4uKFm9Bi4uLipdurT8/PxUpUoVNWnSRO3atdODDz6oypUrOzSGCxcuWNQdP37coXM44zMGAACA4oMz2gEAAIBCrlq1alZ/4X3p0qV8mS8pKcnqL57tXRWYm23js+ub2xXHGU2bNk2nTp0yl/39/fXhhx/medzCJjk5WWPGjDHUDRo0SL169XJSRI61adMm9e7d22FJdkm5Pss5c1KyfPnyjgjHIRISEhQWFqZjx45p+fLlGj9+vJo0aaI77rhDmzdvdnZ4+SYxMVHh4eE6deqUVq9erSlTpqhdu3Zq0KCBxW4WeVEQCbqEhIR8nyOjuLg4i/uqUqVKvs+bnJysQYMGafbs2Q5Lst8aF45lMpl048YNXb58Wf/884+++eYbjRkzRtWqVdN//vMfh34vF8RnLK+7JgAAAKBkI9EOAAAAFHJeXl5Wz9Teu3dvvsx36NAhq8kJe1eo52X7bGt9M26Bnhvnzp3Te++9Z6ibPHlygSSRCtpHH31kWPXn6+urjz/+2IkROU5UVJQefvhhi+1/XV1d1bt3b7333ntav369jh49qvDwcN24cUOpqakymUyGH0edyXv16lVDOb92mXCkPXv2qHv37po8ebKzQylQJ06c0MCBA/Xkk08qNTU1z+NlPju6ODh37pxFXfXq1fN93g8++EC//PKLRX21atX0zDPP6LvvvtOOHTt0/vx5RUVFKSEhweIzvWnTpnyPE1lLS0vT0qVL1bx5c61fv94hYxbHzxgAAACKF7aOBwAAAIqAVq1aWSRA9uzZky9zWRu3fPnydidbbt68mesYrPX18/PL9XiS9PzzzxtWrjVr1kzPPvtsnsYsjM6fP68pU6YY6t5+++18Pae4efPmueoXGRmp8+fP29Vn6tSpCgsLM9S1adNGixcvVt26dW0ex1GrGDN/LvN6vIG96tSpI19fX6vX4uLidO3atSy3z54wYYIqVaqkp556yq45S5curdtvv93uWCUpNDTUIcmz6tWrKyAgwOq1+Ph4RUREZLkadt68eQoMDLR48MZe3t7eFnWffvqpXnjhhTyN60z//vuvRV29evXydc5r165Z/F24u7tr+vTpevbZZ+Xubtuvrhz1mS7s7++cHDx4MM/zS1l/r99a0X7x4kUlJiZaXL9586b69eunffv2qWnTpnmKwdpn7Pr16wV2nAEAAACQExLtAAAAQBHQrVs3iy2PN27cqKSkJIefub1hwwaLuuzOgc5Kbs+8zqpvXn6xvnr1aq1evdpcdnFx0ezZs+Xm5pbrMQurF1980fCgQqNGjfTiiy/m65wHDhzIVb9FixbZfQ7xDz/8YChXr15df/zxh91HFURGRtrV3pqbN29arGivXbt2nse1x1dffaVu3bpl2yYkJETLli3TtGnTLLa6f+211zR48GC7Xr82bdrkeuv5YcOG6euvv85V34wmT56sYcOGZdvmypUrWrVqld5//30FBwcbrn344YcaMWKEXQ9nZGbtmIDM8xQ11j7LjRs3ztc5V61aZbFDxQcffGD395YjPtNS0Xl/Z8VR58vn9L2elpamgwcP6uuvv9YXX3xhSLonJyfr2Wef1ZYtW/IUg7XP2Llz59SiRYs8jQsAAAA4ClvHAwAAAEXAfffdZ1EXHh5udavdvLhy5Yp+/fVXm+bPycmTJ3Mdx4kTJwxlFxeXXJ99HR8fb7HCdOjQoerUqVOu4yusNmzYYPFAxuzZs+Xh4eGkiBzr2LFjunDhgqHu+eeftzvJnpycbDFObhw5ckQmk8lQl99JydyoUaOGXnnlFR08eNAisRwTE2N4CKU4qVy5sp588kkdPHhQHTp0MFxLSUnRjz/+mKfxK1WqZFF36NChPI3pbNu2bTOU/fz81KhRo3yd8/fffzeUy5Url6vdRs6ePeuokGADV1dXtWzZUp9++qn+/PNPeXl5Ga5v3brV7h1LMiuOnzEAAAAULyTaAQAAgCKgVq1aVs+U/vzzzx06z1dffaWUlBRDnb+/vwYOHGj3WPv27ctVDGlpaRYr6Ro2bCgfH59cjffee+8ZVpmWLVtW06ZNy9VYhVliYqKee+45Q92jjz6a42rnosRa0qZz5852j7N//34lJCTkOZ69e/da1LVq1SrP4+aXypUr6+OPP7aoz5xcLW78/Pw0d+5ci/q83nfFihVVs2ZNizFjY2PzNK6zxMXFaefOnYa6jh07ytU1f391lPlz3a5du1zt1LJjxw5HhQQ73XnnnVYfjti+fXuexr3jjjss6tatW5enMQEAAABHItEOAAAAFBHPP/+8Rd2mTZv0008/OWT8kJAQvf/++xb1o0aNUunSpe0eb9OmTbnaPv6PP/5QTEyMoa59+/Z2jyNJp0+ftkiqT506VRUqVMjVeIXZtGnTdOrUKXPZ399fH374oRMjcrzw8HCLutycY5zXlcy3bNy40VD29/fP85nE+c3aAzuXL192QiQFq0mTJhbvFUfcd8+ePQ3lpKQkh30nF7R169ZZPICSm91M7JX5c52bz3R4eLg2bdrkqJCQC/nx3dKxY0eL///x66+/6vr163kaFwAAAHAUEu0AAABAETFgwAC1adPGov7555+3moC0h8lk0lNPPWU421tKXwn6v//9L1djJiQk6LvvvrO737x58yzq7rnnnlzF8NxzzxnOjW3VqpWefvrpXI1VmJ07d07vvfeeoW7y5MmqUqWKkyLKH9Ye+LD3vR8VFaUFCxbkOZbo6GitX7/eUHf33XfLzc0tz2Pnp8xb3UuOO9O5sMt874647wceeMCiburUqUpKSsrz2AVt4cKFhrKbm5sefPDBfJ838+c6N/89mz17tkN2qUDu5cd3i6enp/r06WOoi42N1UcffZSncQEAAABHIdEOAAAAFBEuLi768ssv5e7ubqi/evWqevXqpcjIyFyNazKZ9MQTT2jDhg0W1z744IM8rf6eOHGiXSvP/vrrLy1btsxQV7lyZavJrJysWLHCkAh1cXHRnDlz8n0bZGd4/vnnFR8fby43a9YsV2ccF3bWHhz47bff7Brj2WefVVRUVJ5jee211xQXF2eoGzx4cJ7HzW+bN2+2qCtuD2RYc+jQIYvvIkfc97333qsWLVoY6oKDg/XCCy/keeyCdOjQIYstue+//35VrVo13+fO/Pewfft2i4e+snP06FGLB41Q8PLru+XNN9+0qJs2bZr+/vvvPI8NAAAA5FXx+w0TAAAAUIy1atVKU6ZMsag/cOCAevTooRMnTtg1XkxMjIYOHar58+dbXOvXr1+eV3+Hh4dr0KBBhlXlWTl37pweffRRi/rRo0fLw8PD7rlffPFFQ3nUqFFq166d3eMUdps2bdLq1avNZRcXF82ePbvQr6zOjZYtW8rX19dQN2PGDF24cMGm/u+8846+//77PMcxefJkizO/a9WqpX79+uV57Px0+fJlvfLKKxb1d955pxOiKTixsbFWv8sccd8uLi565513LOq/+OILvf7660pLS8vVuDt27LD6fZgfYmNj9fjjj1vE+sYbbxTI/J07dzaUb9y4oUmTJtnU99y5c+rXr59N/41B/vn77781Z84cQ52Li4s6duyY57FbtmypgQMHGuqSk5M1YMAAbd26NVdjJiYmau7cufrkk0/yHB8AAABKNhLtAAAAQBEzbtw4jRgxwqL+4MGDatasmd566y1dvXo12zESEhL0/fffq2HDhvr2228trrd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t05Xnc/dq7+lJ9lZfzI/ClUqSqJ/7Y3ujavY9e5LxyZa+vog9P/rt2Pvl2eXcC7mxKFTGYixm/5J74lxcEYciF3N/f5s7gSpz/tQTL8UVUZ6zgGchxqKQmzMJv//92POjk9HXt7OZ305mrFsX8Qs/czI++tDskyafOxdTlXxUovqJ2Re1H0xvfN8jIiajv+bM89Xs00qluO1tY7Fu3UXLCR8AYMWxdDwAAAAAy7J7d8SmTdVttdXn5XJEsRjR33/hr2Kx/rOxqtlXl91f+ZXYFMeq2kZqjsuxJooxEP25qejvKZ3/mprzdb4tNxXFGKxKsjfqb3McjZv/56+05hvKiHsueSDW9lQv099or/ZyrIl8rhL5numv8pyv8225SpRjTd21tf2t7SnGh7Y80NxvBABgBZBoBwAAAGBZpqva52pUgT46euHFpcrl5LwL9aWaPcO++93o+4tvxJ78w7Nt5UpSgR5jVaeOxkhdAr1WOXpiNIar2mb6Ks9WX+/JPxx9T/1ZxHe/u/zvIYvOnIl1//Px+IUNX5htq1QiH6W6vdpLkZ976xoqV5Lz5spF0t/cVdhu2/C5WPeV/zfizJllfwsAACuJRDsAAAAAy7aYqvZSKeLkyYX7OXkyOW+hflSzZ9xv/VbEuXOxe83n51S1J4nZ2ir0UuTjZCy85PjJuKgu4TtS0+/mOBo3r/lCMrl++7eX/S1k0hNPRIyPxz2XfHS2qv18PrxRVXvtPV3M4zP9nO93bU8xPnTJx5JlKp58csmhAwCsRBLtAAAAACxbM6raVbN3iW98IyIi+nJTSVX7nOrnhlXtlY1RrlTvIT6tXMnFaGVjVVtdH5VKUs2eO58E/vrXm/BNZNC+fRERsS4/nlS1VyKmM+LzVrUv8Fydt5o9zvdbOV/Nnh9Pmp56qknfCADAyiDRDgAAAEBTLLeqXTV7lzh4cOaPu9d8PjZVjlY9nKaqfeFq9sTmyveSavYG43eV/ftn/njPJR+NtbmzVQ+nqWpfsJr9vLW5s0k1e4PxAQBWA4l2AAAAAJpiOVXtqtm7xOho1Sct+nJTsSceqjolqUgvVl/WoKq9cTV7sa4ifk88NFvNHpGMXzvZVruxsYjDh2cO1+XH4xf6/lvVKfncuUVVtc9bzZ47V9V2W99/m61mj0jGH6v+uwEAyDKJdgAAAACaZqlV7arZu8Tf/V1d0+74bGyKOVXtuVyM5KoT4Y2q2htWs+dGI3KzCfnN8b24OR6vj+PFF5cQfIYdP17XdE/u12Nt1YcSctGbK9WdV3uPG1az50oRMXvf18bZ+FDu1+vjOHFi0SEDAKx0Eu0AAAAANM1SqtpVs3eRYrGuqS8aVLXnFq5qn7eaPdegmr3BkuiN4ljVpurvwbrc2fiF/H+partQVfuiq9nzvx/rapamny8OAICskmgHAAAAoKnSVrWrZu8ig4MNm3fH49VV7RELVrXPW80+R1LN/v+mimPV6u2tb8vl4p78v6+pao8Fq9rnr2aftTbOxofyv1m1ssCCcQAAZJREOwAAAABNlbaqXTV7F7nyyvq2XK66qr2SVFQvVNW+YDX7+etnqtkbJXy3b1/e95E1GzfWt/X3x7qesTlV7cl9W6iqfeFq9uSa2/K/H+t6xiL6++vH3LBhOd8FAMCKItEOAAAAQNMttqr90CHV7F1leDjiouq91qcT4Yutaj9UuTxdNXttov2ii5I4ukmhEHH55dVtAwMREbNV7XNy642q2ieiPnFedV5lTjX7nP5nXH55/SdoAAAyTKIdAAAAgKZbbFV77VbZqtm7wLZt1cdr1kRELLqqvRjVy74vWM0+p/95x+8Wu3ZVH69bl/xvpqq9MpNsb1TVXonqDyxUVbNXkv/MVLPP6X/e8QEAMk6iHQAAAICWWExVey3V7F3gjW+sPp6zb/dMVXulMpM0r61WrzXz+Plr6vZmr90X/E1vWnLomXbDDdXHQ0MR+WRlgNmq9tlke6Oq9rlmHq9ERKVSXc2ezyf9z/X61y/zGwAAWFkk2gEAAABoicVWtS/0mGr2Vehf/+v6KvPzCd+6qvZKpWFV+7SZavY5ifmqavZ89RLzkc9H/MqvNO1byZSbbqpfzv38nunVVe1Jsr1RVfu0mWr280n2umr22r3YBwcjbryxqd8OAECn5S98CnO9+OKL8a1vfStefvnlOHPmTFxyySVxxRVXxI/8yI9Eb+2nY4GuMFmpRJTLy7ue1LJ83yuVSixcF3Dh6wEAICt274546KGIo3O23h4ZiXjppfpzVbN3iS1bIv7hP4z4sz+bbevrizh3LqJSid3xeDwUe+JobKqqan+pcnldVyO50aoke93e7LWf0vgH/yAZvxutWxfx1rdGPPbYbNvGjRGnTkWMj8c9+X8fny79XJyNwvmq9lz05koxWal/z7M3V6pKstftzb5xY/UFP/mT9UvJAwBknET7Ij366KPxW7/1W/HNb36z4eMbNmyId7/73fHrv/7rMTw83ObogE46MjHR6RC6Upbv+1TEzJtAAACw2k1Xte/dO9s2Xbk+NlbfNpdq9lXsnnuSCue5vxv19UVMTMxUte+N9yftlUoU4kwUYizGYnaSFGIsCpUzVd1WVbPXTp5cLhm3m916a8Tjj0eU5nz8+9JLIw4ejHWRVLV/tPRLMV3Zno9KTEW+an/2XFQiXylFzKl2n6lm7+lJ+psrn0/GBQBYZSwdfwFnzpyJf/pP/2nccsst8ybZIyJOnDgRv/u7vxvXXnttfPnLX25jhAAAAAAr22L2alfN3mXe8IaId76zum3Nmpnk+Mxe7XOMxLEFj6uq2fv66penf+c7k3G72datEe95T3Vbf3/S3tMzu1f7jEr0Tn9w4bzkeDbJPlPN3tOT9NPfX93/e96TtAMArDIS7Qs4d+5cvPvd747/9t/+W1X7yMhI3HTTTXHLLbfEddddF7nc7Cc6v/e978XP/MzPxDe+8Y12hwsAAACwIl1or3bV7F3qox9NPlExVz4f0d8ffbnS7F7t5xViLArnk8Bz/zxtTzwUfblSkuit3Zt98+ZkPCJuuy1i167qtsHBiG3bYl2hfH6v9ln5KM3s1Z6LSuRrNkO7Lf/7sa5Qjti2Lelnrl27kvEAAFYhifYFvP/9748vfOELM8e9vb3xn/7Tf4ojR47El7/85XjkkUfiL//yL+OZZ56JN8z5NOzExES87W1vi1deeaUTYQMAAACsOAtVtatm71IDAxGPPlr/KYs1ayIGB2P3mi/MW9XesJp9zReTRG9tJXuhkIwzMND0byGT8vmIe++tf+L190ds3x73XPqxWJur/hDDdFV7bXX72txYfOjS34vYvr2+kn1kJBmn9kMPAACrhJ9y5nHgwIH4j//xP1a1/eEf/mH8zM/8TN25f+/v/b34kz/5k3jLW94ys7z88ePH45577omP+qQsZNrG3t66tl21bwC0wXCDOFazLN/3HbWf3o+IQk/7P9d2VYM4AACgk+bbq314WDV7V7vuuoj//t8jfvZnI8aqk7t9/bnYU/r92Dv1r2f2ci/EWAzHsepq9lwu9vT+fvTlc1GnUEj6v+66Vn4X2XPppRH33x9x110Rx6o/tLBuZDB+YfzL8dFjPxvJXu1JVfu5WHO+mj0XyZbtubht5IuxbqTB758jI0n/tfu1AwCsIira53HPPffE1NTsJzT/+T//5w2T7NMGBwfjk5/8ZPTN+S3wwQcfjAMHDrQ0TqC1LsrnGyZO22nH4GCs77JPf2f5vm8dGIgNHf5gxIbe3rhMpQYAACvQYvZqV83ehd785ogvf7l+GfmI2L3m87EpN5rs/33+a6TnRNXx5tyxuHnNF+r73bw56ffNb27DN5FB27dHPPhg/TLyEXHPJR+NtWuKEblcRE8uoqcn+numzt/zXEQuF2vXFONDl3ysvt9du5J+t29vwzcBANA5Eu0NFIvFePTRR6va7r777gted/XVV8fb3va2meNSqRT/5b/8l/kvADLh7q1bu3r8Tun0972c8T/c4TcTOj0+AADMp68v4vbbFz5HNXuXuu66iL/924hbbkmSu+f15abi9vynFrx0T/7h6MvNWdI8l4t417uS/lSyL+zSSyM+8YmIO++sWuJ9XX48btvwuQUvvW3D52Jdfny2IZ9PKuQ/8QmV7ABAV5Bob+DLX/5yjM1ZquoNb3hD/OAP/uCirv3FX/zFquPHHnusqbEB7Xf90FA8sHNn2yusdwwOxgM7d8b1Q0NtHXelyPJ9v3XLlnjg6qvbXtm+obc3Hrj66rh1y5a2jgsAAGm8/e0Rb3xj48fe9KbkcbrUwEDEJz8Z8eSTET/6ozOJ37eveTze2PPNhpe8qed/xdvXPJ4c5PPJdU8+mSR7rfS1OPl88gmYRx6JeMc7kn3uI+LDr/2duLr/pYaX7Ox/KT782t9JDgYHk+seeST5pEyXrcoHAHSvXKVyfoMjZrzvfe+LBx54YOb4Ax/4QPzmb/7moq49e/ZsvOY1r4lSqTTT9t3vfjc2N1j6qtWeffbZuPbaa2eOn3nmmbjmmmvaHgesJqdKpRids61Eqwz39nbdcvELyfJ9PzI+Hi8Ui03ts5GrBgctFw8AQGacPRvxsY9FPPZYRLE4m6d773sj1q7tdHSsGN/9bsRv/3bE178eZw98Lz524p3x2LndUYzBGIxivGPN4/HeDY/G2h2bk09p/MqvRPjg8fKdOZN8WOGpp+LoX30n3vvNX4yvnL4hSrEm8nEufmxoX3zsDZ+ITa97bcTrXx9x440R69Z1OmoAoEt1Mh8q0d7AG9/4xvizP/uzmePHH388bk6xOdh1110Xf/VXfzVz/Cd/8ifxj//xP25qjIsh0Q4AAACsZBMTyVd/f/IFCxodjYlvH4yJUxPRv74/+nduixge7nRUq9/YWJw6eCJOvXou1r9mTazftiGiUOh0VAAAEdHZfKhyyQb2799fdXzVVVeluv7KK6+sSrT/7d/+bUcS7QAAAAArmQQ7qQwPR//wcJgybVYoxPq/V4j1nY4DAGCFsUd7jRMnTsSJEyeq2rZu3Zqqj9rzn3/++WXHBQAAAAAAAMDKINFe49VXX606LhQKsTbl5mCbNm2qOj558uRywwIAAAAAAABghbB0fI0zZ85UHQ8ODqbuo/aa06dPLyumiIijR4/GsWPHUl3zwgsvLHtcAAAAAAAAAKpJtNeoTbQPDAyk7qM20V7b51Lcf//9cc899yy7HwAAAAAAAACWx9LxF5DL5dpyDQAAAAAAAADZINFeY926dVXHxWIxdR+119T2CQAAAAAAAEB2WTq+xkpNtN91111xyy23pLrmhRdeiLe97W3LHhsAAAAAAACAWRLtNS666KKq47GxsTh79mysXbt20X0cPXq06vg1r3nNsuPatGlTbNq0adn9AAAAAAAAALA8lo6vsXHjxrj44our2g4dOpSqj5deeqnq+Ad+4AeWHRcAAAAAAAAAK4NEewO7du2qOn7hhRdSXX/gwIEF+wMAAAAAAAAguyTaG7j22murjr/5zW8u+tqzZ8/G//7f/3vB/gAAAAAAAADILon2Bn7iJ36i6virX/3qoq/9+te/HqVSaeb4da97XWzevLlZoQEAAAAAAADQYRLtDfz4j/94DA4Ozhx/85vfjP/zf/7Poq795Cc/WXX89re/vZmhAQAAAAAAANBhEu0NFAqFeOc731nVdu+9917wuueeey7+6I/+aOY4n8/Hz/3czzU9PgAAAAAAAAA6R6J9Hv/23/7b6O3tnTn+5Cc/GY8//vi854+Pj8cv/uIvxuTk5Ezb7bffHldeeWVL4wQAAAAAAACgvSTa57Fjx474V//qX1W1vfOd74zf+Z3fqUqmR0Ts378/3vKWt8T/+l//a6Zt48aN8aEPfagtsQIAAAAAAADQPvlOB7CS7d27N5599tn44he/GBERU1NT8S//5b+Mf/fv/l1cd911MTQ0FAcOHIinn346KpXKzHV9fX3xR3/0R3HJJZd0KnQW6VSpFKNTUy0fZ7i3N9bnm/t0y3LskNaR8fF4oVhs+ThXDQ7GZQMDTe0zy8/VLMcOAAAAAACt5F3tBaxZsyYeeeSR+KVf+qX4gz/4g5n2o0ePxpe+9KWG12zatCk+9alPxZve9KZ2hckS7Dt1Ku47fDgOtCFxN23H4GDcvXVrXD80tKx+shw7pPXwK6/EBw8ejBNtSPZO29DbGx/evj1u3bJlWf1k+bma5dihLcbGIo4fj5iaiujtjdi4MaJQ6HRUq9/oaMTf/V1EsRgxOBhx5ZURw8OdjmpxzJmmOXUqmQqLUixGfP/7EaVSRD4fcfHFydxZhOHhiPXrlx5nI6liX4aOx77C7juksX9/xF/9VevHed3rInbtav0481ph/y5l+TUmy6/tdEaW50yWY4e0sjzfsxw7ZFGuMrcUm3k9+uij8R/+w3+IP//zP2/4+IYNG+Ld73533HPPPTEyMtLm6Bp79tln49prr505fuaZZ+Kaa67pYEQrw75Tp+J9zz3XsfEf2LlzyYmkLMcOaT38yitx5/PPd2z8B66+esnJ9iw/V7McO7TMmTMRTzwRsW9f8g784cP151x+efKO+Q03RNx0U8S6de2Pc7X57ncjfuu3Ir7xjYiDByNOnqw/56KLIrZti3jjGyP+9b+OWOaHpJrGnGm6p5+O2Ls34sCBBU4qn0veVTp7NmJ8PKJmy6+IiOjrixgYiFi7NnlXqGfNvN3t2BHx/vdHXHddG2JvsrbGvkLvO6Tx7/99xG/+ZsTERPvG7O+P+L//74hf+7U2DLZC/13K8mtMll/b6Ywsz5ksxw5pZXm+Zzl2WK5O5kMl2lN68cUX4+mnn46XX345zp49G1u2bIkrrrgifvRHfzT6+vo6HV4VifbG3vXss22t0qy1Y3AwHlni30OWY4e0Lv/mN9tayV5rQ29vHH7DG5Z0bZafq1mOHZru0KGIz3wm4gtfSN7YXayBgYi3vjXi1lsjtm5tXXyr1Te/GfGhD0X8+Z9HnDu3+OvWrIn4h/8w4p57Ipb4+r1s5kxLPPVUxF13Rcz7m+vkRMTxE8mHMSrlxXec60k+rLFxQ0Rff+NTchG/+7tJ3mkpLhh7C7U89hV83yGND30oSbR3yv/z/yQxtMQK/ncpy68xWX5tpzOyPGeyHDukleX5nuXYoRkk2mkJifZ6J0uleMu3vtXpMOJ//tAPpd6POMuxQ1qHxsdj11/8RafDiG//8A+n3rM9y8/VLMcOTVUqRXzykxG/93vJn5cqn494z3sibrst+TMLGx+PuOOOiP/+35f37kAuF/HOd0Z89KNJoqAdzJmWete75qnKqFQijo8m6yIud84MD0dsHE7+XGPHjohHHlla1/PG3iYtiT0D9x3SKBTaW8leq78/Wcm9qTLw71KWX2Oy/NpOZ2R5zmQ5dkgry/M9y7FDM3QyH+rdG7rK8QbVsfub/httvV01e52NTk2lTiJlOXZIq1FF9Vg5RRXDEhV6eqqOXygWUyfas/xczXLs0DQvvxxx993JsqrLVSolH+v+6lcj7r034tJLl9/navX000ly/HvfW35flUrEH/5hxNe+FvHoo61fw86caamzZ+d5w2hqMuLIkXQVmvOpVCKOHYs4fTrisssieqtXKjtwIIlj7dp03c4bexs1PfYM3HdI48UXO5tkj0jGf/HFiO3bm9RhBv5dyvJrTJZf2+mMLM+ZLMcOaWV5vmc5dlgNvIsNAAARybvcd92VvCnbyOnTyR6n4+PJu+KVSlIh1d+fVE6vWxcxNFR/3f79EbffHnH//U18F30V+drXIn72Z+cv55uaSpaQr1SqK9tyueRrzZqI3t766773vYgf//GkQv7Nb25N7OZMyzXaivelA+di7GQ5Ii5pfFHl/H8qMwfn5SJyc/9fYzwiXi1H4aJzccWO6v19JyfTv2nUMPaXWlC5OkehEHHFFfVxNCX2jNx3SOPkyfq2Nny+N2o+39swjiXJyL9LWX6NyfJrO52R5TmT5dghrSzP9yzHDqtBz4VPAQCAVe7llyPuvLPxG9PHj0c8/3xSYfXqq8mb09MJ30olOX711eTx559Pzq917FjyxvfLL7fyu8iep5+OeMc7Gr8DMDmZtE9NJVmP2uVjK5WkfWoqOa/RuwtjY0kS/+mnmx+7OdMWF18cceWVcxqmJmNk8jtRnWQ5r1KJKFeSvXwrlQbnnP+wRqV8/rxGSxJXkv6nZufTVVclcSw79ogYGUnfTxq1/Tct9gzdd0jjh34oyTF3Un9/EseyZejfpSy/xmT5tZ3OyPKcyXLskFaW53uWY4fVQKIdAIDuViolS6yOjla3T6/levTo4vc3LZWS8xutRXvsWDLOcvZKXU3Gx5Pl4mu3Czl3LmlLe59KpeS6c+eq28fGknGasQzt3LHMmba55Zbzf6hUIo4ciULlTBR65vx9VmJOcmWx+/lW5iRvZlsLPeNRqJxJkk3nkzUz4y8n9un+C8lXKzTquymxZ/C+QxpveUv1cW21ebPV9n/jjU3oNIP/LmX5NSbLr+10RpbnTJZjh7SyPN+zHDtknUQ71Lisvz92DAws+euyDn4cPsuxQ1q9EdGXyy35q8Eiw22T5edqlmOHeX3qU/X7mBaLEQcPLj05Oz6eXF+bRN6/PxmPiPe9r35P9lJpdinbpahUkutrEwDf+14yXrOYM221e3fEpk0RcXx05v6O5L+fPFiJpIpx0UmYWtNVklHd7/h4xPHR2Lw54uabmxD7HK2qLqntt2mxZ/C+Qxqf+lREvkMbK+bzEZ/4RBM6yuC/S1l+jcnyazudkeU5k+XYIa0sz/csxw5ZZ492qNGXy0X/cj7C3o4N3eaR5dghrVwuF/lco034FqcUsfREzjJl+bma5dihoUOHIj7+8eq2iYmkvdF8HRxM9i4dGEj2Bj93LnnT9vTp+jeiy+Wkn23bqtel/fjHk/K1rVub/u1kxje/GfHoo9Vt5841Xv49Itk/tqcnuedzz2+0pHxE0s/0/u3THn004o47It7whuXFbs60XV9fxJ6bj8Xer81WahZ6xqOQK8ZYefY+9UQ5rsgdilxUInI9EWt6knkQuZipcjxXjqiUoxK5eKmyNcrTnz2vlKPQM1FdTTk6GntujujrW/o7VH19EXv2ROzdO9s2XQEyd8eEnp5kj8PF/GhTqSR7Ls6dbo2qSvbsScZfVuwZve+QxoYNETfdFPGFL8y29fS05sfW2h+jf+InkvGXJaP/LmX5NSbLr+10RpbnTJZjh7SyPN+zHDtknYp2AAC612c+U1/9/PLL9W9M9/Ulv41u2xaxcWPE2rXJG9Rr1ybH27Ylj9f+dlku1+9lWiol43azD32oPkE+X5K9ry9JCvT3J6V/01/9/Un7fL/R1/ZXqSTjLpc50xG7jz0Ym9acqGobqVTvQ1yOnijmBqO/P6J/IKK/txz9+XPRny8l/+8tJ+39EcVcYTYRM09/m9ccj5uPPrj82BdRXVIuJ/mt/v4LfxWL9dOtVVUlWb7vkEaaqvaengt/LUbTqtkz/O9Sll9jsvzaTmdkec5kOXZIK8vzPcuxQ5ZJtAMA0J3OnKkuX4uIOH68fonVdesitm+/8AZnhUJy3rp11e3j40m/c33xi8n43ei734348z+vbpucrE+853JJAuBCmY98Pjmv9iP5lUp9sv3/+/+S8ZfKnOmMM2ei74nPxZ7hx2fbSqUoxNkoxNzqy1yMxkiUcwv/mlvO9cRoDEdSDZkoRDEKcbYqWbVn+PHoe/Lzy77v09UlczWqBBkdvXAFbblcvwVzy6pKMn7fIY3pqva55kuYL+Z52khLqtmz/O9Sxl9jMvvaTsdkec5kOXZIK8vzPcuxQ5ZJtAMA0J2eeKL+jegT1VVV0dcX8drXLr48racnOb/2N83afovFiCefTBfvavFbv5UsUztXbSVeRPIR+jT3fe6StvP1WypF/PZvL67PRsyZzjh/33df9KexaXqf3VIyh0Zy0+/+5CJyuShFPk6eG1qwu5PnhqIU+TlLD8/p53y/m/Mn4uaLvta0+76Y6pJSKeLkyYX7OXmyflq3rKpkFdx3SKOde7U3rZo9y/8urYLXmEy+ttNRWZ4zWY4d0sryfM9y7JBVEu0AAHSnffuqj0+frv9N8pJLFv/G9LSenuS6uUqlpP+5nnoqXb+rxTe+UX08NVV/Tl/f0u57o4/S1/b/9a+n63cuc6Yzzt/3vp5SUvl4rhwRyQoIhdxYUvmYy80UMY6WXhPlSuOuypXk8YhIzs/lkorH3PTGhclev3uGH4++nvN/t024782oLml7VckquO+QRjOq2ttazR6R7X+XVsFrTCZf2+moLM+ZLMcOaWV5vmc5dsgqiXYAALrT/v3Vx7VLiA4OXniJ1fkUCsn1C/VfO363OHiw+ri2uj2XW3pJYT5fv4R8bf+146dhznTGnO9790V/Gpvie1UPj6w5Pnel4AUrH2cqHqflzl8/x+b4XlLx2GD85VhudUnbq0pWyX2HNNpR1d60avaIbP+7tEpeYzL32k7HZXnOZDl2SCvL8z3LsUMWSbQDANB9xsYiDh+ubqtdenVo4SVKL6j2+tr+Dx9O4ugmo6P1v83X7s2etuquVu31tf2fPFn/8fzFMGc6o+a+9/WUYk/vp6tOKayZiEJP9b1qVPlYVfE4fW3PeBTWTFS17en99GzFY0TT7vtyqkvaXlWyiu47pLGcqva2V7Nn+d+lVfQak6nXdlaELM+ZLMcOaWV5vmc5dsgiiXYAALrP8eP1bRPVb8jGwMDyxqi9vrb/iPr9Tle7v/u7+rbaRPiaNcsbo/b62v4jIl58MX2/5kxnNLjvu8ufjU1xbLahpydGpvf3Pa9R5WNdxWNEct2cLNjmOBo3lz9bH0eT7vtSq0vaXlWyyu47pNHKqvamVrNn+d+lVfYak5nXdlaMLM+ZLMcOaWV5vmc5dsgaiXYAALpPo33BO5HwbRTHalYsdjqCxFLiMGc6o8H32xeTsSf/8JyWXFK9uEDl47wVjz3jMXdt4j35h6MvJhcVx1IspbqkI1Ulq+y+QxpLqWpvezV7RLb/XVplrzGZeW1nxcjynMly7JBWlud7lmOHrJFoBwCg+/T21rddaG/vtBrtPb6YOFaz2r1eO2UpcZgznTHPfd+95vNzKh+TjMtClY/zVjzOuX5zHI2b13yh5fc9bXVJR6pKVuF9hzRaUdXe1Gr2iGz/u7QKX2My8drOipLlOZPl2CGtLM/3LMcOWSLRDgBA99m4sb6tv7/6uHYf0rRqr6/tP6KJZW0ZceWV9W2dSAps356+X3OmM+a57325qdnKx/MlGPNXPuYWqHicvX5P/uHoy021/L6nrS7pSFXJKrzvkMZy9mqf7/ymVrNHZPvfpVX4GpOJ13ZWlCzPmSzHDmlleb5nOXbIEol2AAC6T6EQcfnl1W21+5CePr28MWqvr+3/8svrf2td7YaHIy66qLqtNhE+X8ZisWqvr+3/oouSONIyZzpjgfs+U/l4bvbvvFHl46HJLQtUPEbEufJsxeOc/me04L4vtrrk0KEOVZWs0vsOaTSzqr3p1ewR2f53aZW+xqz413ZWnCzPmSzHDv9/9v4+SK7rvg+8vz0YzBsGJEUApAgREEBKlmEytQlNxtaK9G7sgLG4JVqSJWarQpsrsCibrJSr5H126c1Wrax6tp5QTtbeSlUoWZRMyaafPEVLVEWVUBXSsmxLG9tLRutUSMO2ZAIEKEjCC00SwLxhMP38cQhguntmMD1vt+/M51PVpu7pe8/9zfXp243+9e+cbtV5vNc5dqgLiXYAADamfftat0dHW7fHx5OxsaX1PTbWuQ54e//t598o9uxp3Z5r/df2f+Ev1vT05denbT9/N4yZasxz3S9WPjZnFqx8HG+2Jlc6Kh6bM5cqHmf1P+/5V8Biq0vah8SaVpWsw+sO3eimqr3dqlezX1Dn96V1eI+pxb2dnlLnMVPn2KFbdR7vdY4d6kKiHQCAjenWW1u3t27tLF373ve6r7CemSnHzdbfX/qf7bbbuut3vbj99tbtudZHnZpa2nWfmupsb+//jju663c2Y6YaC1z3i5WP585dWI63o/Kx3cXnm0nOnWuteFzD676Y6pJ2a1pVsk6vO3RjJaraV6Wa/YI6vy+t03tMz9/b6Tl1HjN1jh26VefxXufYoQ4k2gEA2JjuvLNzGtH2crOpqeS73138F9QzM2X/9oRve7/Dw8n+/d3Fu1788i93VpnPlcWYnOzuuk9Odra399vfn3zsY4vrcy7GTDUWuO6XKh+bybmppDl35eMFF59r5s39m60Vj2t43RdbXbLQc6taVbJOrzt0YylV7WtWzZ7U+31pnd5jev7eTs+p85ipc+zQrTqP9zrHDnUg0Q5tpprNTM7MLPkx1T5dqdhhVTSbzUwv49H0Wt1wsUOH0dHkrrta27Zt6/zS98yZ5NChy0+9OjZW9jtzprV9aKj0O9t739s5helG8da3Jj/+461tAwOda6k3m8nExOWnkZ+eLvu1318ajc5vAn7sx8r5l8qYqcZlrvvFyseZmWSq/EBjvsrHHf1/27Jfx/q9a3zdu6kuWfOqknV83aEby6lqX9Vq9qTe70vr+B7T0/d2elKdx0ydY4du1Xm81zl26HXLnAAL1p9X5qqGqok6xw7dOpd0JlVqos6v1TrHDnO6997kK19pTebu3JkcPtxa+TU1lbz8cqmA2rq1fGm7aVNy/nxJ8p4+3bmoWVLK2nbubG3r7y/n3cg+8YlSSTb7Pj4wMHdV+tRUmTq2r6+1Ev78+TfXYJ3nvaA9yd5olPMulzFTjQWu+8BMqXx8ZPp/LONhaiojjemM5MqMNS+VYow0xjJy7o2y7u+bLlY8VnTdL1SXPPLIpbYLFSSz82GVVZWs0+sO3bhQ1f7005fa+vrmLhBf02r2C+r8vrRO7zE9f2+n59R5zNQ5duhWncd7nWOHXqeiHQCAjWv37uSBB1rbBgdL+1xzw46PJ8ePJ0eOlIqvI0fK9nxfTO/eXfqb7YEHSvtG9u53Jx/6UGvbpk3z/+u92SyJgKmpS4/z5xdOsrdPT/+hD5XzLpcxU43LXPeLlY8XNGeyo3miJF7efFzcftPFiseKr/tiqksqqypZx9cdurGUqvZVr2a/oM7vS+v4HtPT93Z6Up3HTJ1jh27VebzXOXboZRLtAABsbPfdl+zb19o2PJzs2dM59epiDQ2V44eHW9v37SvnI/n0p8u/2mfr7y9fiLdPI79YjUY5vj0bcu215XwrxZipxgLXfWB4U1nPd5aRxlhGUhJHIxnPSKN1yuQD/b+dgeFNlV/3y62ZWHlVyTq97tCNxazVXkk1+wV1fl9ap/eYnr+303PqPGbqHDt0q87jvc6xQy+TaAcAYGPr708++cnOn24PDiZ795affC+2jK2/v+y/d29nBdWOHeU8S13odb0ZGkq++MXOf8lv2lS+GF9K6eDwcGcl+8hIOc9SEw3zncuYWXuXue53X/dcruk72fLUjsbJlv9ecG3fibzvuud75rovVF1SeVXJOr7u0I1uqtrXrJp99gnr+r60ju8xPX1vpyfVeczUOXboVp3He51jh17lX7BsKNs2b+5o29f+5e4a2D5HHJdT59ihWze0Vx4kGZlr2sNV9o454ricOr9W6xw7LNvOncmjjyYPPZScONH63LZt5XH6dHLmTFnHdHKyTFt+oYJ6aCgZHS1rns5lx47Sf/s6oRvdLbckX/pS8rM/27owXFJ+Nj8wUNZnvzBN/Oyp4huN8ti0KZnvvjEyUvq/5ZaVj92YqcYC131g+xU5sOlreeS7P5fMnE9mmhnJWLbnVKl4bPQlfY2kb1MOvO1rGXjLFZ39V3Td51szcfv2HqkqWafXHbqx0FrtlVazX1Dn96V1eo/p+Xs7PafOY6bOsUO36jze6xw79CoV7WwoV/b3z5nAW0s3DA/niiX8grrOsUO3dg8N5eqKk61Xb96c65dQ/Vjn12qdY4cVsXdv8rnPdU5fesHWrcl115X9fviHy34//MNl+7rr5v9iet++0u/evasXe539xE8k/+E/dE4jf8HmzeXL/+HhS3PZjYyU7aGh+ZPs115b+v2Jn1i92I2Zaixw3e++8o9yzeDrZVwMDiRDQ9kxfKaMlcGBZPPmXDv4Wt535R939lvxdV/MmomVVpWs0+sO3Zirqr09yb7m1eyz1fl9aZ3eY3r+3k7PqfOYqXPs0K06j/c6xw69SKKdDefh3btre/46xw7d+ucVf9m6nPNX/Vpxn4Fl2LmzfDv+4IPLn1q0v79UZj3+uCrNy7nlluQv/iL58IeXvj77BY1Gcs89pb/VqGRvZ8xUY57rPtA3nfu3/9sFDz2w/SsZ6Ju+1NAj131gILn//oX3qbyqZB1ed+jG1VeXavWFVFLNPlud35fW4T2mFvd2ekqdx0ydY4du1Xm81zl26EUS7Ww4P7p1a37zXe9a86rNG4aH85vveld+dL5fiC9CnWOHbt371rfmN3/oh9a8sv3qzZvzmz/0Q7n3rW9dch91fq3WOXZYMf395V+dTz6ZfPCDpXK6G8PD5bgnnyz/OjVLw+IMDSWf/3zy7LPJe96ztDXa3/Oecvzjj6/smuyLObcxs/bmue4fuOrruX30z+c85I7RP88Hrvp62ejB6/6BDyS33z73c3fcUZ6v3Dq87tCN3/u9+RPp27aV5ytX5/eldXiPqcW9nZ5S5zFT59ihW3Ue73WOHXpNo9mcvdAh68mLL76Ym2+++eL2Cy+8kJtuuqnCiHrPG9PTOXnu3KqfZ/vmzSs+FXKdY4duvTIxke+Mj6/6ed4xPLyk6eIXUufXap1jhxV15kxJ3j73XHLwYHL0aOc+u3aVqUlvuy3Zv7+sccryfP/7yW/8RvKNbySHDyevv965z5VXJnv2lG8CPvaxZBk/klpRxkw1Zl33s//lpXzmz/9+nnrtH2R8ZjDDfZP54FVfz0f/7v+dLX/nhp6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      "text/plain": [
       "<Figure size 2400x1800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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AgBg+fHisXr26ZWzp0qUxceLEds+xbNmyrOOOhFZyraysLOt4f77CGCAfxo8fH3PmzGk5XrJkSYf215qamjbzdYVx48ZFr169Yvv27RGR6fq3cePGdt8319bWxtq1a1uOe/XqJTgCHDBS3ds7yz03QHrctwPQmgc1AXqO4nwXAFBofIgNkJ7q6uqsjrTr1q2LxYsXt/v6P//5z1nHvrkBOFC03u/mzp3b7mvffPPNrG9HKC8vjyOOOKLLauusXf84GRExdOjQPFUC0DGd2Zs3b94cr7zyyl7n2199+vSJ0aNH73dtuwYdIzJdAvv06dMltQGkLtW9vbPccwOkx307AK3JuAD0HALfAF3Mh9gA6enVq1ecccYZWWN/+MMf2n1963M/85nPdEFVAOk766yzso47s3eeeeaZUVycxscQ27dvjxdffDFrbPjw4XmqBqBjOrM3/+lPf4rGxsaW4+OOOy4OPvjgriqtS9833HMDB5KU9/bOmDdvXtaxe26ANLhvB2BXMi4APUcaf2kFKBCCIwDpOu+887KO77nnnnZdt379+vjd736XNTZ9+vSuKgsgaa33zt/85jexYcOGdl1777337nWufHrsscdi/fr1LcclJSVxyimn5LEigPY788wzszovzZ07N9588812XZvrvbn1fD//+c9bvip+b7Zv3x73339/TmsDSFnKe/v+evXVV+PVV1/NGjvttNPyUwwAWdy3A7ArD2oC9BwC3wBdSHAEIF3Tp0+PAQMGtBw///zz8eyzz+7zujvvvDPrq8s++clPxsiRI3NSI0BqRo0aFaeeemrLcX19fdxxxx37vO7ZZ5/N+pB44MCBMW3atJzU2FGbN2+OWbNmZY2ddtppWe8RACkrLy+Pz3/+81ljt9566z6vW7x4cTz66KMtxyUlJXHhhRd2aW2nnnpqHHHEES3Hq1atahMI2Z37778/3nnnnZbj0aNHx8c//vEurQ0gZSnv7ftj+/btce2112aNjRkzJo4++ug8VQTArty3A7CDBzUBehaBb4AuIjgC0H2WL18eRUVFWT/Lly/f6zUDBw6M//N//k/W2BVXXJH1oE5r8+fPj3/6p3/KGvvud7+733UD9ESt98F/+qd/ihdeeGGP53/wwQdx+eWXZ43NnDkzDjrooL2u09G9fe3ate3uQLXDxo0b4/zzz4/XX389a/z6669v9xwAKbjhhhuid+/eLcf33ntvm2+l2dWWLVvi0ksvjYaGhpaxyy+/PEaPHr3XdVrvy/v6qvdevXrFjTfemDX2zW9+c6/7+fLly9uEAm+66aYoLvbRNXBgSXVv/5d/+ZfYsmVL+36JiGhoaIgrr7wyZs+enTXunhsgd9y3A7A/PKgJ0PO4+wYKnuAIQPdavnz5bn/Wrl2bdd6WLVv2eO6GDRtyUts3v/nNGDVqVMvxkiVL4uSTT4758+dnndfU1BS//OUv4/TTT8/6w+mXvvSlOOmkk3JSG0CqTjnllKxugw0NDXH66afHgw8+GE1NTVnnzps3L04++eRYunRpy9jo0aPj6quv7vK6Nm3aFF/+8pdj7NixccMNN8Qrr7zSpp4dtmzZEv/2b/8Wxx57bDz22GNZr1122WW+lQfocaqrq+Oaa67JGvv85z8f//qv/5p1/xoRsXDhwjj99NNjzpw5LWNDhgzJ2WcWF110UZxwwgktxx988EGcfPLJ8cQTT7Q59/HHH4+TTjop6yHMk08+OS644IKc1AaQslT39quvvjqOOOKI+Na3vhXz5s2LxsbG3Z7X2NgYv/3tb+OEE06Ie+65J+u1M844Iy666KIurw2gJ1i1atVuPwN/7733ss5rbGxs92frXcF9O0DaPKgJwO4UNTc3N+e7CODAtafg9SOPPBLf+ta3Wo5POOGEePDBB3d77sCBA2PgwIF7XWPXryWLiFi2bFlW4G9351dXV8ff/u3fxuc+97k45phjdvuE+pYtW+JXv/pV3HjjjVFTU5P12mWXXRY/+9nP9lgXQKEqKirq9BzXX3993HDDDXt8vaN7+67eeOONOPnkk+PDDz/MGp84cWKMHTs2tmzZEi+//HKsWrUq6/UpU6bEs88+G+Xl5e3+PQAKxebNm+PUU0+Nl156KWv8sMMOi49+9KNRWloaixcvjtdeey3r9UGDBsXcuXNj3Lhx+1xjf+/bd9WvX7845phjoqqqKgYMGBD19fXx7rvvxoIFC2Lr1q1t5jjnnHPiN7/5TZSUlOyzPoDUbN++PT772c+2eZClqqoqJk2aFBUVFVFTUxMLFiyIXT8CLi0tjaeeeipOPfXUfa7R+t7+mWeeadfX+r777rtx4oknxttvv501fuSRR8aECROiubk5Xn/99ViyZEnW66NGjYrnn38+Dj744H2uAVCIUtzbW5/fp0+fmDBhQgwbNiwOOuig2LZtW6xZsyZefPHF2LRpU5vrp0yZEk8//XRUVFTsszaAQjRq1KhYsWJFp+a45JJL4t57793j6+7bAbrXqlWrdvsg5PPPPx9f+tKXWo5HjBgRzz333G7n6N+/fwwdOnSPa+zPffshhxwSF198cXz+85+PyZMn7/Zz78bGxvjP//zPuOGGG+Ivf/lL1mtnnHFGPPHEE13yt14AckPgG8irFEOBgiMAnZPi3t7avHnz4sILL2zzsM6enHHGGfHAAw9EVVVVu84HKETvvfdeXHzxxW06fuzJ6NGj45e//GUcf/zx7Tq/K+7b26t3795x/fXXx6xZs6JXr177NQdACjZt2hRXXHFFPPTQQ+06v6qqKu67774466yz2nX+/gZHIiIWL14cX/ziF9s8LLQnkyZNioceeijGjBnTrvMBClVqe/v+fs5TVFQUf//3fx+33npr9O3bd7/mACgEKQe+I9y3A+yPFPd2D2oCHBjatqsFoI3NmzfHvHnz4v/9v/8XDzzwQPz617+OuXPntgl79+7dO2666ab47W9/K+wNkLATTjghXn755Zg5c2YMGzZsj+dNnDgx7rrrrnjiiSeEvYED3iGHHBJPPvlk/PjHP46JEyfu8bxhw4bFzJkz4+WXX2532Ht/VFZWxne+8504/fTT2/0h9GGHHRazZs2KJUuWxHXXXSfsDfR4/fv3jwcffDAefvjhOPHEE/d43uDBg+PrX/96vPbaa+0OBHbW2LFjY968eXHzzTdHdXX1Hs8bPXp03HzzzfH8888LjQBEenv79773vTj77LNjyJAh7Tq/srIy/u7v/i7eeOONuOOOO4S9ARLnvh2gMG3dujUWLFgQ//mf/xm/+MUv4uGHH45nn322Tdi7qKgorr766vjTn/4k7A3QA+jwDeRVil1gN2/eHLfffns8++yz8d///d+xcePGfdZw2GGHxUUXXRRf//rXY+TIkR0pH4A8a2pqiueffz5qampi9erVUVpaGsOHD49jjjkmjj766HyXB5CsN954I1577bVYvXp1NDQ0xPDhw6O6ujpOPPHEKC7u3ufLm5ubY9myZfHWW2/FO++8E+vXr4/6+vooLS2NQYMGRVVVVUyZMiVGjBjRrXUBdLdly5bFggULYvXq1bF58+Y45JBD4vDDD4+Pf/zjUVpamtfaXnzxxVi8eHGsXr06IiKGDx8eY8eOjcmTJ+e1LoDUpbS3r1q1KhYtWhSrVq2KdevWRX19ffTq1SsGDRoUQ4cOjWOPPTZGjx7drTUB0LXctwPsW4odvr///e/HM888E/PmzYt169btc/3Kysr4whe+EN/4xjfiqKOOam/ZAOSZwDfAXgiOAAAAAAAAAADQE3hQE6BwCXwDAAAAAAAAAAAAACSqe79jGQAAAAAAAAAAAACAdhP4BgAAAAAAAAAAAABIlMA3AAAAAAAAAAAAAECiBL4BAAAAAAAAAAAAABIl8A0AAAAAAAAAAAAAkCiBbwAAAAAAAAAAAACARAl8AwAAAAAAAAAAAAAkSuAbAAAAAAAAAAAAACBRAt8AAAAAAAAAAAAAAIkS+AYAAAAAAAAAAAAASJTANwAAAAAAAAAAAABAogS+AQAAAAAAAAAAAAASJfANAAAAAAAAAAAAAJAogW8AAAAAAAAAAAAAgEQJfAMAAAAAAAAAAAAAJErgGwAAAAAAAAAAAAAgUQLfAAAAAAAAAAAAAACJEvgGAAAAAAAAAAAAAEiUwDcAAAAAAAAAAAAAQKIEvgEAAAAAAAAAAAAAEiXwDQAAAAAAAAAAAACQKIFvAAAAAAAAAAAAAIBECXwDAAAAAAAAAAAAACRK4BsAAAAAAAAAAAAAIFEC3wAAAAAAAAAAAAAAiRL4BgAAAAAAAAAAAABIlMA3AAAAAAAAAAAAAECiBL4BAAAAAAAAAAAAABIl8A0AAAAAAAAAAAAAkCiBbwAAAAAAAAAAAACARAl8AwAAAAAAAAAAAAAkSuAbAAAAAAAAAAAAACBRAt8AAAAAAAAAAAAAAIkS+AYAAAAAAAAAAAAASJTANwAAAAAAAAAAAABAogS+AQAAAAAAAAAAAAAS9f8BMhFkpxYi7qwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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5Z8yYMdGzZ88mr+3o2aqz9j0Ammc/65jGZ6uIhs6GAHSuQt3POpPzGUDXZz/rGOczipVAOgCQF2eeeWbG+JlnnmnzvY2vnThxYpSWds2/1jR+HZ599tlIpVJtuvfNN9+Md955Jz0ePHhwHH300VmtD4CWFfJ+VlZWFp/4xCdaXLMlja/95Cc/mYWq9jR37tyMceOu8wC0riP70W9+85uora1Nj4844ojYZ599slVaVvfKlvaiCRMmZHSvffnll9vcvXbz5s3xyiuvpMfl5eUxYcKENtcJQHbYzzqm8dlq7733jh49euRkLQCaV8j7WWdxPgPo+uxnHeN8RrHqmsktAKDLO++88zLGs2bNiurq6jbdO3PmzBaf1ZUcccQRccABB6THa9asiSeeeKJN9zZ+Hc4999yMf+ADIPcKfT9r/My77rqrTfe9//778cgjj2TMTZ48OVtlZbj33nszxqeeempO1gHoziZOnJjxNrDPP/98vPnmm226N9f7UePn/eQnP4m6urpW76urq4uf/vSnba5t8ODBcdJJJ6XHNTU18bOf/axNNd5zzz2xc+fO9PjP/uzPYuDAgW26F4DssZ91TON9z9kKID8KeT/rLM5nAF2f/axjnM8oVgLpAEBeHHDAAXHyySenx9u3b49bb7211fvmzJmT8duk/fv3j3PPPTcnNXaWz33ucxnjm2++udV71q9fH3feeWfG3KWXXprVugBoXaHvZ5MnT46+ffumxy+88ELMmTOn1fu+//3vx/bt29Pj0047LUaMGJH1+u6+++546aWXMuYmTZqU9XUAuruqqqo4//zzM+bacq5YvHhxPPzww+lxeXl5XHTRRVmt7eSTT44DDzwwPf7DH/6wRzCvKT/96U9jzZo16fGoUaPixBNPbPGexmeif/mXf4kPPvigxXs++OCD+Nd//deMuSlTprRaHwDZZz9L7plnnomHHnooY87ZCiA/Cnk/60zOZwBdm/0sOecziplAOgCQN9/97nf3GDcOpe1uw4YN8YUvfCFjbtq0adGvX78W11mxYkWUlJRkfKxYsSJx3dn29a9/PaO7w9NPPx3/9m//1uz19fX18dd//dexfv369NzEiRPjlFNOyWmdADStkPez/v37x9/93d9lzF1++eXx/vvvN3vPvHnz9via/vEf/7HFdR566KFYtmxZi9c09stf/jKuuOKKjLnTTz89J+EMgGJw/fXXZ7zt68yZM/d4t4vd7dixIy677LKoqalJz33hC1+IUaNGtbhO472otbfrLSsri29/+9sZc1/72tda3MNWrFgRX/3qVzPm/uEf/iFKS1v+5+wpU6bE2LFj0+O33norrr322hbv+eY3vxlvvfVWenzooYfGxRdf3OI9AOROse9nTzzxRLz22mst1tLY3Llz49Of/nSkUqn03NixY+OCCy5o13MAyJ5C3c86k/MZQNdX7PuZ8xm0n0A6AJA3J510UsZv1dbU1MTpp58e9913X9TX12dcO3fu3Bg/fnwsXbo0PTdq1Ki46qqrclbfjh07YsWKFU1+bNmyJePa6urqZq/dsWNHi+v069cvbrjhhoy5q6++OqZPn77HOqtWrYrzzjsvHnzwwfRcz54945ZbbungVwtAUoW+n33ta1+LAw44ID1+++23Y/z48TFv3ryM6+rr6+Pee++N008/PeMfCy+88MI44YQTWlzjkUceibFjx8b5558fP//5z2Pjxo3NXvvmm2/G5ZdfHueee25GV6S+ffu2qbs8AE0bOXJkXH311Rlz559/fvz7v/97xvf1iIg33ngjTj/99HjuuefSc4MGDYrp06fnpLaLL744jjvuuPR4w4YNMX78+HjiiSf2uPbxxx+PE044IeOXp8aPH9+mH9qUlZXF9773vSgpKUnPzZgxI6644oqMX+iNiPjTn/4UX/ziF+Nf/uVf0nMlJSXxz//8z1FWVtaurw+A7Cn2/ey5556LI444Is4888yYOXNmvPfee81eu3r16vj7v//7OPnkk2PDhg3p+R49esTtt98e5eXl7fnyAMiiQt7Pamtrm/15VnV1dca1W7ZsafPPyRpzPgPo+op9P3M+g/YrSe3+6xgAAJ1s69atcfLJJ8err76aMf+Rj3wkPvaxj0VFRUUsXrw4FixYkPH5AQMGxPPPP5/RXaE5K1asyHhL3YiI5cuXZ4TzmvLMM8/Eaaed1rYvpAVPP/10nHrqqa1e98UvfjF++MMfZsz1798/jj766Bg0aFCsXr06XnzxxaitrU1/vqSkJO69916/UQuQZ4W8n0VELFq0KMaPH79HUHzcuHFx0EEHxY4dO+K1116LP/zhDxmfP/roo2POnDlRVVXV4vOnTp0ad999d8bcgQceGKNHj45+/fpFRUVFvP/++7Fw4cJYtWrVHvdXVlbGL3/5y/jzP//zVr8WAJpXV1cX55xzTjz66KMZ80OGDIkjjzwy+vTpE8uWLYtXXnklo0tPRUVFPPXUU3HyySe3usbuYYKItp93/vjHP8bxxx+/xz4wZsyYOOywwyKVSsXChQvj7bffzvj8AQccEC+88ELss88+ra6xy3e/+9341re+lTFXWVkZxx13XAwdOjT++Mc/xosvvhjbt2/PuObmm2+Oa665ps3rAJAbxbyfXX/99Xt0Yt93331j7Nix0b9//6isrIyNGzfG4sWLY/HixXvcX1ZWFjNnzoxLLrmk1a8FgNwq1P2sqX9jTOKuu+6KqVOntnqd8xlA11bM+5nzGbSfX70AAPKqV69eMXv27Ljkkkvif//3f9Pzq1evjtWrVzd5z6hRo+Lee+9tU3ivK7n99tujsrIy/u3f/i19WKuuro6nnnqqyet79+4d//7v/y6MDlAACn0/O/TQQ+Pxxx+Piy66KJYtW5aenz9/fsyfP7/Jez7xiU/EPffc02oYvTnLly+P5cuXt3rdEUccET/96U/j0EMPTbQOAB8qKyuLn//853H55ZfH/fffn55/77334rHHHmvyniFDhsTdd9/dph8OdcSwYcPiySefjM9+9rMZv8C1ZMmSWLJkSZP3HHnkkXH//fe3K4weEXHttddGSUlJTJ8+PXbu3BkREdu3b2/27X579OgR3/nOd4QdAAqE/SzTmjVrYs2aNa1eN3LkyPjxj38cJ554YqJ1AMiuQt7POpPzGUDXZj/L5HwGLSvNdwEAAEOHDo0nn3wyfvCDH8S4ceOavW7YsGExbdq0eO211+KYY47pxAo7R3l5edx6663x1FNPxemnnx6lpU3/Va1Xr15xySWXxOuvvx5Tpkzp5CoBaE6h72fHHXdcvPbaazFt2rQYNmxYs9eNGzcu7rjjjnjiiSdiyJAhbXr2lClT4vOf/3wcdNBBe3SyaErPnj1jwoQJ8dBDD8W8efOE0QGyqHfv3nHffffFAw88EMcff3yz1w0cODD+5m/+JhYsWBBnnnlmp9R20EEHxdy5c+PGG2+MkSNHNnvdqFGj4sYbb4wXXnghRo8enWitb37zmzF37tyYNGlSVFRUNHlNRUVFTJo0KV588cWYNm1aonUAyI1i3c/OPffc+NKXvhTjxo2LsrKyVq8vLy+P8ePHx9133x2LFi0SdgAoMIW8n3Um5zOArq1Y9zPnM2i/ktTu75UAAFAAFi1aFAsWLIi1a9dGTU1NDB8+PEaOHBnHH398syHt7mjX2xSuWbMmNm7cGEOGDImPfOQjceKJJ0avXr3yXR4ArSjk/ay+vj5eeOGFWLZsWaxduzYqKipi+PDhcfjhh3c4HL5ly5ZYtGhRrFy5Mt55553YunVr1NbWRt++fWPAgAExZsyYOPLII5v94RMA2bV8+fJ45ZVXYu3atbF169YYOnRo7L///nHiiSfm/Xvxyy+/HIsXL461a9dGRMTw4cPjoIMOiqOOOiqr67z//vvx3HPPxZo1a2L9+vUxaNCg2HfffWP8+PExYMCArK4FQG4U4362Y8eO9Nnqj3/8Y2zevDl27twZvXv3jgEDBsSBBx4YRx99dOJ3tQKg8xXyftZZnM8Aur5i3M+cz6BtBNIBAAAAAAAAAAAAAEikeFqMAgAAAAAAAAAAAACQVQLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIgLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIgLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIgLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIgLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIgLpAAAAAAAAAAAAAAAkIpAOAAAAAAAAAAAAAEAiAukAAAAAAAAAAAAAACQikA4AAAAAAAAAAAAAQCIC6QAAAAAAAAAAAAAAJCKQDgAAAAAAAAAAAABAIv8faKEazGcCcY0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris = datasets.load_iris()  \n",
    "X = iris.data \n",
    "y = iris.target \n",
    "target_names = iris.target_names  # стандартизируем входные данные \n",
    "std_scaler = StandardScaler() \n",
    "X = std_scaler.fit_transform(X, y)  \n",
    "markers = [ \",\" , \"o\" , \"v\"] \n",
    "colors = [\"c\", \"r\", \"b\"] \n",
    "lw = 2  \n",
    "# инициализируем класс для Метода главных компонент, указываем количество компонент для анализа \n",
    "pca = PCA(n_components=2) \n",
    "X_r = pca.fit(X).transform(X)  \n",
    "# инициализируем класс для Линейного дискриминантного анализа, указываем количество компонент для анализа \n",
    "lda = LinearDiscriminantAnalysis(n_components=2) \n",
    "X_r2 = lda.fit(X, y).transform(X)  \n",
    "# инициализируем класс для Факторного анализа, указываем количество компонент для анализа \n",
    "fa = FactorAnalysis(n_components=2) \n",
    "X_r3 = fa.fit_transform(X, y)  \n",
    "# вычисляем сингулярное разложение \n",
    "U, S, Vt = np.linalg.svd(X)  \n",
    "# инициализируем класс для Стохастического вложения соседей с t-распределением \n",
    "tsne = TSNE(n_components=2, init='pca', random_state=0) \n",
    "X_tsne = tsne.fit_transform(X)  \n",
    "# инициализируем класс для Многомерного шкалирования \n",
    "mds = MDS(n_components=2, n_init=1, max_iter=100) \n",
    "X_mds = mds.fit_transform(X)  \n",
    "# инициализируем класс для Изометрического отображения \n",
    "iso = Isomap(n_neighbors=10, n_components=2) \n",
    "X_iso = iso.fit_transform(X)   \n",
    "plt.figure(figsize=(8,6), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(X[y == i, 0], X[y == i, 1], \n",
    "                color=color, marker=marker, \n",
    "                alpha=.8, lw=lw,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Оригинальные данные')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(X_r[y == i, 0], X_r[y == i, 1], \n",
    "                color=color, marker=marker, alpha=.8, lw=lw,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Метод главных компонент')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "        plt.scatter(X_r2[y == i, 0], X_r2[y == i, 1], alpha=.8, color=color, marker=marker,                 \n",
    "                    label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Линейный дискриминантный анализ')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(X_r3[y == i, 0], X_r3[y == i, 1], color=color, marker=marker, alpha=.8, lw=lw,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Факторный анализ')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(U[y == i, 0], U[y == i, 1], alpha=.8, color=color, marker=marker,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Сингулярное разложение')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):    \n",
    "    plt.scatter(X_tsne[y == i, 0], X_tsne[y == i, 1], alpha=.8, color=color, marker=marker,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Стохастическое вложение соседей с t-распределением')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(X_mds[y == i, 0], X_mds[y == i, 1], alpha=.8, color=color, marker=marker,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Многомерное шкалирование')  \n",
    "plt.figure(figsize=(12,8), dpi=300) \n",
    "for marker, i, target_name, color in zip(markers, [0, 1, 2], target_names, colors):     \n",
    "    plt.scatter(X_iso[y == i, 0], X_iso[y == i, 1], alpha=.8, color=color, marker=marker,                 \n",
    "                label=target_name) \n",
    "plt.legend(loc='best', shadow=False, scatterpoints=1) \n",
    "plt.title('Изометрическоt отображение')   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d90ac363",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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